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Finding the Fourth Proportional to 8,344, 11,514.72 and 5,033.92

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Solution

The fourth proportional to 8,344, 11,514.72 and 5,033.92 is: 6,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 11,514.72 = 5,033.92 : x
  2. Step 2: Convert to fraction form
    8,344/11,514.72 = 5,033.92/x
  3. Step 3: Cross multiply
    8,344x = 11,514.72 × 5,033.92
  4. Step 4: Simplify right side
    8,344x = 57,964,179.30
  5. Step 5: Solve for x
    x = 57,964,179.30/8,344
  6. Step 6: Final answer
    x = 6,946.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.